In this work, first-principles calculations were used to study the effects of alloying elements on the atomic structure, elastic property and thermodynamic property of L12 ordered γ′-Co3(V, Ti) at finite temperature. Twenty transition metals (TM), including Sc, Cr, Mn, Fe, Ni, Y, Zr, Nb, Mo, Tc, Ru, Rh, Pd, Hf, Ta, W, Re, Os, Ir and Pt, have been considered as the alloying element at different crystallographic sites. The results show that Mn, Fe, Ru, Os, Rh, Ir, Ni, Pd, and Pt tend to occupy the Co site, while other elements prefer the Ti site of γ′-Co3(V, Ti). In the ground state, all TMs except Cr, Mn, Fe, Y, Tc and Ru could stabilize the γ′-Co3(V, Ti) compound, and the addition of Sc, Fe, Y, Rh, Pd, Ir and Pt can remain the compound a stable phase after involving its competitive phases. The mechanical property of TM-substituted γ'-Co3(V, Ti) was found to be linearly related to both the value of the electron density and the molar volume of compound. However, at finite temperature, only Sc, Y, and Os enhance the thermodynamic stability of the γ'-Co3(V, Ti) with the increasing temperature, which is different from the cases in the ground state.